\begin{abstract}
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    Recall Euler's formula for planar graphs, \(V+E-F=2\).

Let \(G\) be a maximal planar graph; we wish to show that every drawing of \(G\) has only triangular faces (counting the ``unbounded'' face also as a triangle).

    Recall Euler's formula for planar graphs, \(V+E-F=2\).
\end{abstract}

\begin{abstract} does not start on line does not start on line does not start on line oes not start aa a a a a a a a a a a a a a a a a a a a a a a a a a a a a aa a a a a a a a a a a a a a a a a a a a  

    Recall Euler's formula for planar graphs, \(V+E-F=2\).

Let \(G\) be a maximal planar graph; we wish to show that every drawing of \(G\) has only triangular faces (counting the ``unbounded'' face also as a triangle).

    Recall Euler's formula for planar graphs, \(V+E-F=2\).
\end{abstract}

\begin{abstract} does not start on line does not start on line does not start on line oes not start aa a a a a a a a a a a a a a a a a a a a a a a a a a a a a aa a a a a a a a a a a a a a a a a a a a  

\end{abstract}does not start on line does not start on line does not start on line oes not start aa a a a a a a a a a a a a a a a a a a a a a a a a a a a a aa a a a a a a a a a a a a a a a a a a a  

    Recall Euler's formula for planar graphs, \(V+E-F=2\).
